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Finding the Third Proportional to 192,963 and 296,932.50

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Solution

The third proportional to 192,963 and 296,932.50 is: 456,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,963 : 296,932.50 = 296,932.50 : x
  2. Step 2: Convert to fraction form
    192,963/296,932.50 = 296,932.50/x
  3. Step 3: Cross multiply
    192,963x = 296,932.50 × 296,932.50
  4. Step 4: Simplify right side
    192,963x = 88,168,909,556.25
  5. Step 5: Solve for x
    x = 88,168,909,556.25/192,963
  6. Step 6: Final answer
    x = 456,921.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.